The factors of the quadratic equation are (2x + 5)(2x + 5).
If (x – α) is the common factor of the given quadratic equations then, x = α becomes the root of the corresponding equation.
Given
The quadratic equation is;
[tex]\rm 4x^2+20x+25\\\\[/tex]
The factors of the equation are;
[tex]\rm 4x^2+20x+25\\\\4x^2+ 10x+10x+25\\\\ 2x(2x+5)+5(2x+5)\\\\(2x + 5)(2x + 5)[/tex]
Hence, the factors of the quadratic equation are (2x + 5)(2x + 5).
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